3.8 A surge tank in Fig. E3.8 is designed with a slotted weir so that the outflow rate, w, is proportional to the liquid level to the 1.5 power; that is, where R is a constant. If a single stream enters the tank with flow rate wi, find the transfer function H(s)/W(s). Identify the gain and all time constants. Verify units. The cross-sectional area of the tank is A. Density is constant